264033120 has 384 divisors, whose sum is σ = 1005903360. Its totient is φ = 57507840.

The previous prime is 264033059. The next prime is 264033151. The reversal of 264033120 is 21330462.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2015455 + ... + 2015585.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2^264033120 is an apocalyptic number.

264033120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502951680).

264033120 is an abundant number, since it is smaller than the sum of its proper divisors (741870240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264033120 is a wasteful number, since it uses less digits than its factorization.

264033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 264033120 is about 16249.0959748535. The cubic root of 264033120 is about 641.5336915282.

Adding to 264033120 its reverse (21330462), we get a palindrome (285363582).

The spelling of 264033120 in words is "two hundred sixty-four million, thirty-three thousand, one hundred twenty".